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Finding the Fourth Proportional to 19,871.64, 27,422.77 and 10,919.11

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Solution

The fourth proportional to 19,871.64, 27,422.77 and 10,919.11 is: 15,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.64 : 27,422.77 = 10,919.11 : x
  2. Step 2: Convert to fraction form
    19,871.64/27,422.77 = 10,919.11/x
  3. Step 3: Cross multiply
    19,871.64x = 27,422.77 × 10,919.11
  4. Step 4: Simplify right side
    19,871.64x = 299,432,242.13
  5. Step 5: Solve for x
    x = 299,432,242.13/19,871.64
  6. Step 6: Final answer
    x = 15,068.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.